Parallel Postulate (3.1), Perpendicular Postulate (3.1), & Transitive Property of Parallel lines (3.3)

Dana Bailey, Grace Doran, and Regan Stiles (p7)

Parallel Postulate:
If there is a line and a point not on the line, then there is exactly one line through the point parallel to the given line.

http://img.sparknotes.com/figures/C/cdafbce3d7fbcda5507c818a9e198ec0/parallelpost.gif

The line that goes through point C is parallel to line AB.

http://www.wyzant.com/Help/Images/theorem_img3.gif

Parallel postulate example--you can draw a line in any direction through point E, but only the red line is parallel to line CD.

Perpendicular Postulate:
If there is a line and a point not on the line, then there is exactly one line through the point perpendicular to the given line.




Angle 1 is perpendicular to angle 2.

Transitive Property of Parallel Lines:
If two lines are parallel to the same line, then they are parallel to each other.



Line Q and line S are paralell to each other.
Lizzie Luallin, Holly Fielder, Sara Meurer, Margie Stone

Parallel Postulate




If there is a line and a point not on the line, then there is exactly one line through that point that is parallel to the given line.

Perpendicular Postulate
If there is a line and a point not on the line, then there is exactly one line through that point that is perpendicular to the given line.

Transitive Property of Parallel Lines
If two lines are parallel to the same line, then they are parallel to each other.